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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.
- Subject:
- Calculus
- Geometry
- Mathematics
- Material Type:
- Full Course
- Homework/Assignment
- Syllabus
- Provider:
- UMass Boston
- Provider Set:
- UMass Boston OpenCourseWare
- Author:
- Catalin Zara
- Ph.D.
- Date Added:
- 02/16/2011